Conditions which must be satisfied by the gauge-fixing fermion χ used in the BRST quantisation of constrained systems are established. These ensure that the extension of the Hamiltonian by the gaugefixing term [Ω, χ] (where Ω is the BRST charge) gives the correct path integral. In canonical BRST quantisation (particularly the path-integral approach developed by Batalin, Fradkin, Fradkina and Vi...

The continuous extension of the discrete duality symmetry of the SchwarzSen model is studied. The corresponding infinitesimal generator Q turns out to be local, gauge invariant and metric independent. Furthermore, Q commutes with all the conformal group generators. We also show that Q is equivalent to the non—local duality transformation generator found in the Hamiltonian formulation of Maxwell...

Conditions which must be satisfied by the gauge-fixing fermion χ used in the BRST quantisation of constrained systems are established. These ensure that the extension of the Hamiltonian by the gaugefixing term [Ω, χ] (where Ω is the BRST charge) gives the correct path integral. In canonical BRST quantisation (particularly the path-integral approach developed by Batalin, Fradkin, Fradkina and Vi...

We convert the self-dual model of Townsend, Pilch, and Nieuwenhuizen to a first-class system using the generalized canonical formalism of Batalin, Fradkin, and Tyutin and show that gauge-invariant fields in the embedded model can be identified with observables in the Maxwell-Chern-Simons theory as well as with the fundamental fields of the self-dual model. We construct the phase-space partition...

The continuous extension of the discrete duality symmetry of the SchwarzSen model is studied. The corresponding infinitesimal generator Q turns out to be local, gauge invariant and metric independent. Furthermore, Q commutes with all the conformal group generators. We also show that Q is equivalent to the non—local duality transformation generator found in the Hamiltonian formulation of Maxwell...

We present a quantization of previously proposed generalized Chern-Simons theory with gl(1,R) algebra in 1+1 dimensions. This simplest model shares the common features of generalized CS theories: on-shell reducibility and violations of regularity. On-shell reducibility of the theory requires us to use the Lagrangian Batalin-Vilkovisky and/or Hamiltonian Batalin-Fradkin-Vilkovisky formulation. S...

Lee G. Fradkin,1 Gian Garriga,2 Patricia C. Salinas,3 John B. Thomas,4 Xiang Yu,5 and Yimin Zou6 1Department of Molecular and Cell Biology, Leiden University Medical Center, 2333 AL, Leiden, The Netherlands, 2Department of Molecular and Cell Biology, University of California, Berkeley, Berkeley, California 94720, 3Department of Anatomy and Developmental Biology, University College London, Londo...